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1. |
Evaluate the function f(x) = 2x3 - 6x + 1 for f(-2). |
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A. |
37 |
B. |
5 |
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C. |
-35 |
D. |
-3 |
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Hint |
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2. |
Find the inverse of  . |
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A. |
 |
B. |
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C. |
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D. |
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Hint |
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3. |
Solve the system of inequalities by graphing. |
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A. |
 |
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B. |
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C. |
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D. |
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Hint |
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4. |
Find the maximum value of f(x, y) = 2x + y - 2 for the polygonal convex set determined by the system of inequalities. |
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A. |
18 |
B. |
14 |
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C. |
12 |
D. |
6 |
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Hint |
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5. |
If you use the parent graph f(x) = [[x]], describe how you would graph
g(x) = 3[[x]]. |
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A. |
There would be no difference between f(x) = [[x]] and
g(x) = 3[[x]]. |
B. |
The vertical distance between the steps for g(x) is 1/3 unit. |
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C. |
None of these is correct. |
D. |
The vertical distance between the steps for g(x) is 3 units. |
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Hint |
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6. |
If you use the parent graph f(x) = x2, describe how you would graph
g(x) = (x - 4)2 - 2. |
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A. |
Move the parent graph left 4 units and up 2 units. |
B. |
Move the parent graph left 4 units and down 2 units. |
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C. |
Move the parent graph right 4 units and up 2 units. |
D. |
Move the parent graph right 4 units and down 2 units. |
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Hint |
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7. |
Sketch the graph of the function f(x) = |x2 - 6|. |
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A. |
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B. |
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C. |
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D. |
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Hint |
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8. |
Determine the binomial factors of x3 - 5x2 - x + 5 = 0. |
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A. |
x + 1, x - 1, and x - 6 |
B. |
x + 1, x - 1, and x - 4 |
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C. |
x - 1, x + 1, and x - 5 |
D. |
x - 1, x + 1, and x - 3 |
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Hint |
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9. |
Use a half-angle identity to find the exact value of sin 67.5°. |
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A. |
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B. |
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C. |
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D. |
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Hint |
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10. |
Solve sin x cos x -  cos x = 0 for principal values of x. Express solutions in degrees. |
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A. |
30°, 90° |
B. |
150°, 90° |
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C. |
60°, 90° |
D. |
30°, 60° |
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Hint |
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11. |
Solve the equation 3x + y + 2i = 12 + xi - yi for x and y, where x and y are real numbers. |
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A. |
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B. |
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C. |
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D. |
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Hint |
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12. |
A twig bobs up and down in the water. It moves from its highest point down to its lowest point and back every 12 seconds. The distance between its highest and lowest points is 3.2 centimeters. Write a sine function that models the movement of the twig in relation to the equilibrium point. |
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A. |
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B. |
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C. |
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D. |
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Hint |
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13. |
Find the first three iterates of the function g(x) = x2 + x for an initial value of x0 = 1. |
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A. |
 = 2
 = 6
 = 12 |
B. |
= 0
= 2
= 4 |
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C. |
= 2
= 6
= 36 |
D. |
= 2
= 6
= 42 |
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Hint |
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14. |
Which of the following graphs represents the function: 
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A. |
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B. |
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C. |
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D. |
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Hint |
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15. |
What is the value of y when x = 2? |
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A. |
0 |
B. |
2 |
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C. |
1 |
D. |
undefined |
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Hint |
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16. |
The quadrilateral with vertices A(-1,5), B(2,7), C(4,5) and D(3,3) is reflected over the line y = x . Find the image of the quadrilateral after the reflection. |
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A. |
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B. |
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C. |
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D. |
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Hint |
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17. |
Solve the system of inequalities by graphing.
2x + y  3
2x + y  -2
y 4
x < 1 |
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A. |
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B. |
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C. |
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D. |
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Hint |
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18. |
Simplify the expression sin x + 4 cos x + 2 sin -x - 2 cos -x |
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A. |
0 |
B. |
1 |
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C. |
3 sin x + 2 cos x |
D. |
2 cos x - sin x |
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Hint |
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19. |
You are following a compass course, where you are given instructions to get from a starting point to a finishing point by walking certain distances in certain directions using a compass. At the beginning of the course, the directions say to walk 50 ft at 30° to reach a big oak tree. Later, you realize that you are only 70 ft away from the starting point, at an angle of 120°. How far are you from the big oak tree? |
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A. |
70.8 ft |
B. |
104.4 ft |
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C. |
86.0 ft |
D. |
53.9 ft |
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Hint |
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20. |
Another name for the absolute value of a complex number is the _______________. |
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A. |
modulus |
B. |
argument |
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C. |
real part |
D. |
amplitude |
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Hint |
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